Challenge: Long-term memory (LSTM) networks are capable of encapsulating long-range dependencies . but simple recurrent networks (SRNs) have been less successful at capturing long-term dependencies and loci of grammatical errors in an unsupervised setting.
Approach: They propose a new architecture that incorporates the decaying nature of neuronal activations and models the excitatory and inhibitory connections in a population of neurons.
Outcome: The proposed architecture shows competitive performance relative to LSTMs on subject-verb agreement, sentence grammaticality, and language modeling tasks.

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Challenge: LSTM networks can detect linguistic structures which are ungrammatical due to extraction violations, but are sensitive to linguistic processing factors.
Approach: They propose to use LSTM networks to detect ungrammatical sentences by detecting extra arguments and subject-relative clause island violations.
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On Efficiently Representing Regular Languages as RNNs (2024.findings-acl)

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Challenge: Recent work by Hewitt et al. (2020) provides an interpretation of the empirical success of recurrent neural networks (RNNs) as language models (LMs).
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A Formal Hierarchy of RNN Architectures (2020.acl-main)

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Challenge: Existing theories of expressive power of RNNs are limited.
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Lower Bounds on the Expressivity of Recurrent Neural Language Models (2024.naacl-long)

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Challenge: Recent studies of the representational capacity of neural LMs have focused on their ability to recognize formal languages.
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On the Practical Computational Power of Finite Precision RNNs for Language Recognition (P18-2)

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Challenge: Recurrent Neural Networks (RNNs) are famously known to be Turing complete, but this relies on infinite precision in the states and unbounded computation time.
Approach: They propose to use LSTM and Elman-RNN with ReLU activation to study RNNs . they show that LS and ReLU-RNns can easily implement counting behavior .
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How LSTM Encodes Syntax: Exploring Context Vectors and Semi-Quantization on Natural Text (2020.coling-main)

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Challenge: LSTMs are widely used to capture informative long-term syntactic dependencies, but how they are reflected in their internal vectors for natural text has not been adequately investigated.
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What Part of the Neural Network Does This? Understanding LSTMs by Measuring and Dissecting Neurons (D19-1)

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Challenge: Biological neural systems consist of a huge number of neurons, and can react to the environment in complicated ways.
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Colorless Green Recurrent Networks Dream Hierarchically (N18-1)

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Challenge: Recurrent neural networks (RNNs) can induce non-trivial properties of language.
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Studying the Inductive Biases of RNNs with Synthetic Variations of Natural Languages (N19-1)

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Challenge: Recent studies have identified both strengths and limitations of recurrent neural networks (RNNs) in applied natural language processing tasks.
Approach: They propose a paradigm that addresses typological differences between languages . they create synthetic versions of English and train them to predict agreement features .
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Inducing Grammar from Long Short-Term Memory Networks by Shapley Decomposition (2020.acl-srw)

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Challenge: a recent study shows that modern neural networks understand sentences implicitly by inducing recursive structures.
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